Comparison of methods for incomplete repeated measures data analysis in small samples

This paper presents missing data methods for repeated measures data in small samples. Most methods currently available are for large samples. In particular, no studies have compared the performance of multiple imputation methods to that of non-imputation incomplete analysis methods. We first develop a strategy for multiple imputations for repeated measures data under a cell-means model that is applicable for any multivariate data with small samples. Multiple imputation inference procedures are applied to the resulting multiply imputed complete data sets. Comparisons to other available non-imputation incomplete data methods is made via simulation studies to conclude that there is not much gain in using the computer intensive multiple imputation methods for small sample repeated measures data analysis in terms of the power of testing hypotheses of parameters of interest.

[1]  Seong-Ju Kim A practical solution to the multivariate Behrens-Fisher problem , 1992 .

[2]  Roderick J. A. Little,et al.  Statistical Analysis with Missing Data , 1988 .

[3]  D. Rubin Multiple Imputation After 18+ Years , 1996 .

[4]  Keumhee C. Carriere,et al.  Methods for repeated measures data analysis with missing values , 1999 .

[5]  Bradley Efron,et al.  Missing Data, Imputation, and the Bootstrap , 1994 .

[6]  Rupert G. Miller The jackknife-a review , 1974 .

[7]  D. Rubin,et al.  Multiple Imputation for Nonresponse in Surveys , 1989 .

[8]  D. Rubin,et al.  Large-sample significance levels from multiply imputed data using moment-based statistics and an F reference distribution , 1991 .

[9]  Adrian F. M. Smith,et al.  Sampling-Based Approaches to Calculating Marginal Densities , 1990 .

[10]  W. Wong,et al.  The calculation of posterior distributions by data augmentation , 1987 .

[11]  Barbra A. Richardson,et al.  The analysis of incomplete data in the three-period two-treatment cross-over design for clinical trials , 1996 .

[12]  Incomplete Repeated Measures Data Analysis in the Presence of Treatment Effects , 1994 .

[13]  Daniel F. Heitjan,et al.  Assessing Secular Trends in Blood Pressure: A Multiple-Imputation Approach , 1994 .

[14]  Martin A. Tanner Response-Reader Reaction: A Note on the Analysis of Censored Regression Data by Multiple Imputation , 1995 .

[15]  Donald B. Rubin,et al.  Significance levels from repeated p-values with multiply imputed data , 1991 .

[16]  Donald B. Rubin,et al.  Performing likelihood ratio tests with multiply-imputed data sets , 1992 .

[17]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[18]  Jun S. Liu,et al.  Sequential Imputations and Bayesian Missing Data Problems , 1994 .

[19]  D. Rubin,et al.  Small-sample degrees of freedom with multiple imputation , 1999 .